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Finding the Third Proportional to 136,545.75 and 299,335.50

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Solution

The third proportional to 136,545.75 and 299,335.50 is: 656,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,545.75 : 299,335.50 = 299,335.50 : x
  2. Step 2: Convert to fraction form
    136,545.75/299,335.50 = 299,335.50/x
  3. Step 3: Cross multiply
    136,545.75x = 299,335.50 × 299,335.50
  4. Step 4: Simplify right side
    136,545.75x = 89,601,741,560.25
  5. Step 5: Solve for x
    x = 89,601,741,560.25/136,545.75
  6. Step 6: Final answer
    x = 656,203.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.